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Finding the Fourth Proportional to 502,524.92, 693,543.40 and 298,577.54

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Solution

The fourth proportional to 502,524.92, 693,543.40 and 298,577.54 is: 412,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,524.92 : 693,543.40 = 298,577.54 : x
  2. Step 2: Convert to fraction form
    502,524.92/693,543.40 = 298,577.54/x
  3. Step 3: Cross multiply
    502,524.92x = 693,543.40 × 298,577.54
  4. Step 4: Simplify right side
    502,524.92x = 207,076,482,255.24
  5. Step 5: Solve for x
    x = 207,076,482,255.24/502,524.92
  6. Step 6: Final answer
    x = 412,072.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.